The qualified applicant pool for four management trainee positions consist of ei

Question

The qualified applicant pool for four management trainee positions consist of eight women and six men. (a) How many different groups of applicants can be selected for the positions? (b) How many different groups of trainees would consist entirely of women? Probability extension: If the applicants are equally qualified and the trainee portions are selected by drawing the names at random so that all groups of four are equally likely. what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

Explanation / Answer

1) Number of ways different groups selected for position =14C4

= 1001

2) Number of ways different groups would consist entirely women = 8C4

= 70

3) Probability that trainee class would consist of entirely women = 70/1001

= 0.07

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